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155217216 = 26371110499
BaseRepresentation
bin10010100000001…
…10110101000000
3101211001211222210
421100012311000
5304213422331
623222502120
73563216220
oct1120066500
9354054883
10155217216
117a685aa0
1243b94940
132620780b
1416886080
15d960446
hex9406d40

155217216 has 112 divisors (see below), whose sum is σ = 512064000. Its totient is φ = 40312320.

The previous prime is 155217211. The next prime is 155217247. The reversal of 155217216 is 612712551.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155217211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9535 + ... + 20033.

It is an arithmetic number, because the mean of its divisors is an integer number (4572000).

Almost surely, 2155217216 is an apocalyptic number.

155217216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 155217216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256032000).

155217216 is an abundant number, since it is smaller than the sum of its proper divisors (356846784).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

155217216 is a wasteful number, since it uses less digits than its factorization.

155217216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10532 (or 10522 counting only the distinct ones).

The product of its digits is 4200, while the sum is 30.

The square root of 155217216 is about 12458.6201483150. The cubic root of 155217216 is about 537.4193465426.

Adding to 155217216 its reverse (612712551), we get a palindrome (767929767).

The spelling of 155217216 in words is "one hundred fifty-five million, two hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 7392 10499 14784 20998 31497 41996 62994 73493 83992 115489 125988 146986 167984 220479 230978 251976 293972 335968 346467 440958 461956 503952 587944 671936 692934 808423 881916 923912 1007904 1175888 1385868 1616846 1763832 1847824 2015808 2351776 2425269 2771736 3233692 3527664 3695648 4703552 4850538 5543472 6467384 7055328 7391296 9701076 11086944 12934768 14110656 19402152 22173888 25869536 38804304 51739072 77608608 155217216